Unit 2, Lesson 5

Points, Segments, and Zigzags

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Integrated Math 1

Practice

Problem 1

Write a sequence of rigid motions to take figure $ABC$ to figure $DEF$.

<p>Two figures, A B C and D E F.</p> — $\overline{CB} \cong \overline{FE}, \overline{BA} \cong \overline{ED}, \angle B \cong \angle E$

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Problem 2

Prove the circle centered at $A$ is congruent to the circle centered at $C$.

<p>Two circles. First circle, center A, with point B on circle. Radius A B drawn. Second circle, center C, with point D on circle. Radius C D drawn. A B and C D have one tick mark showing congruence.</p> — $AB=CD$

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Problem 3

Which conjecture is possible to prove?

All quadrilaterals with at least one side length of 3 are congruent.
All rectangles with at least one side length of 3 are congruent.
All rhombuses with at least one side length of 3 are congruent.
All squares with at least one side length of 3 are congruent.

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Problem 4

ForLesson 4: Congruent Triangles, Part 2

Match each statement using only the information shown in the pairs of congruent triangles.

The 2 sides and the included angle of one triangle are congruent to 2 sides and the included angle of another triangle.
The 2 angles and the included side of one triangle are congruent to 2 angles and the included side of another triangle.
In the two triangles, there are 3 pairs of congruent sides.

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Problem 5

ForLesson 2: Congruent Parts, Part 2

Triangle $HEF$ is the image of triangle $HGF$ after a reflection across line $FH$. Write a congruence statement for the two congruent triangles.

<p>Triangle H E F is the image of triangle H G F.</p>

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Problem 6

ForLesson 3: Congruent Triangles, Part 1

Triangle $ABC$ is congruent to triangle $EDF$. So Lin knows that there is a sequence of rigid motions that takes $ABC$ to $EDF$.

Select all true statements after the transformations:

<p>Triangle ABC is congruent to triangle EDF.</p>

Angle $A$ coincides with angle $F$.
Angle $B$ coincides with angle $D$.
Angle $C$ coincides with angle $E$.
Segment $BA$ coincides with segment $DE$.
Segment $BC$ coincides with segment $FE$.

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Problem 7

ForLesson 19: Now What Can You Build?

This design began from the construction of a regular hexagon. Is quadrilateral $JKLO$ congruent to the other two quadrilaterals? Explain how you know.

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Points, Segments, and Zigzags

Practice

Problem 1

Problem 2

Problem 3

Problem 4

Problem 5

Problem 6

Problem 7

Lesson 5 Resources